Topological entropy in a parameter range of the standard map

Progress of Theoretical Physics

Volumn 121, Issue 4, 2009, Pages 657-669

  Yamaguchi, Yoshihiro ^a   Tanikawa, Kiyotaka ^b  

^a TEIKYO HEISEI UNIVERSITY   (Japan)

^b NATIONAL ASTRONOMICAL OBSERVATORY OF JAPAN   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68049129821     PISSN: 0033068X     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/PTP.121.657     Document Type: Article

References (19)

1. P. Collins, Int. J. Bifurcation and Chaos 12 (2002), 605.
2. T. Matsuoka, Contemp. Math. 152 (1993), 229.
3. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 114 (2005), 763.
4. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 114 (2005), 1163.
5. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 107 (2002), 1117.
6. M. Bestvina and M. Handel, Topology 34 (1995), 109.
7. T. Hall, Trains3 was obtained from the following website: http://www.liv.ac.uk/maths/PURE/MIN.SET/CONTENT/members/T.Hall.html
8. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 117 (2007), 601.
9. R. de Vogelaere, in Contribution to the Theory of Nonlinear Oscillation, Vol. IV, ed. S. Lefschetz (Princeton University Press, 1958), p. 53.
10. K. R. Mayer and G. R. Hall, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Springer-Verlag, 1991), Chap. X.
11. G. D. Birkhoff, Trans. Amer. Math. Soc. 14 (1913), 14;
12. Acta. Math. 47 (1925), 297.
13. R. S. Mackay and J. D. Meiss, Phys. Lett. A 98 (1983), 92.
14. S. Aubry, Physica D 7 (1983), 240.
15. S. Aubry and P. Y. Le Daeron, Physica D 8 (1983), 381.
16. P. Boyland, Contemp. Math. 81 (1988), 119.
17. P. Boyland, Topology and Its Applications 58 (1994), 223
18. E. Hironaka and E. Kin, Algebraic and Geometric Topology 6 (2006), 699.
19. Y. Yamaguchi and K. Tanikawa, Prog. Theor. Phys. 119 (2008), 533.